Lecture: Foundations of Graphics, Vision, and Audio

Course

Lecturer(s):
Website:
Start: 13.10.2009
Dates: Tue. and Thu. 15 (c.t.) - 17, HS 1
Course number: MA-INF 2101
Curriculum: Master
Requirements:
Diploma Area:
Effort:
Max. Participants:
Exams: Second examination Tuesday, March 30, 2010, 09:00 am
Follow-up/Side-events:

Exercises

Tutor(s):
Start: Wed. 21.10.2009
Dates: Wed. 15 - 18 N218, Thu. 09 - 11 N218, Fri. 09 - 12 N218
Course number:

Description

• Fourier and wavelet transforms with applications to audio signal analysis and filtering
• Affine and projective transformations with applications to image formation (rigid body motion, cinematic chains)
• Parametric curves and surfaces with applications to 3D modelling
• Elements of continuous and discrete differential geometry with application to mesh processing
• Ordinary differential equations with applications to physical based modelling
• Variational methods and partial differential equations with applications to image processing
• Monte Carlo methods with applications to photorealistic rendering

This lecture has been designed as a team-taught cycle of lectures in the field
of Graphics, Vision, and Audio.

Assignment notes

Information for exercise classes: The arrangement of the classes is done by an extern online system. The registration starts on 21.10.2009 11am and ends on 06.11. 12 am . The first classes will be held on 28.10.2009.

The online registration is available in german online. A translation of the registration pages is given under additional documents.

If you have any questions concerning the exercise classes, please contact Björn Krüger.

Programms

The tool "Zirkel und Lineal" introduced in the lecture is available extern here. The animation to complex numbers presented in the lecture can be found undefined here.

Slides

Vision-Introduction (PDF document, 8.9 MB)
Audio-Literature (PDF document, 33 KB)
Audio-SignalsAndFourierTransform (PDF document, 706 KB)
Audio-WindowedFourierTransform (PDF document, 5.3 MB)
Audio-ContinuousWaveletTransform (PDF document, 348 KB)
Audio-DigitalFilters (PDF document, 11.1 MB)
Graphics-Transformations (PDF document, 2.6 MB)
Graphics-ODES (PDF document, 2.5 MB)
Graphics-Polynome (PDF document, 661 KB)
Graphics-ParameterizedSurfaces (PDF document, 349 KB)
Graphics-subdivisionCurvesAndSurfaces (PDF document, 1.9 MB)
Graphics-Monte Carlo Techniques and Radiosity (PDF document, 1.7 MB)

Assignment Sheets

	Exercise 0: MatlabIntroduction Assignment sheet (PDF document, 33 KB)
	Exercise 1: EulerLagrangeEquation Assignment sheet (PDF document, 64 KB) circle.pgm (PGM image, 64 KB) deriveImage.m (777 Bytes) enhanceContrast.m (488 Bytes) zebras.pgm (PGM image, 64 KB)
	Exercise 2: Diffusion Assignment sheet (PDF document, 103 KB) diffusion.m (1.4 KB)
	Exercise 3: ComplexNumbers Assignment sheet (PDF document, 63 KB)
	Exercise 4: FastFourierTransform Assignment sheet (PDF document, 57 KB)
	Exercise 5: ContinousWaveletTransform Assignment sheet (PDF document, 67 KB)
	Exercise 6: LatexAndRotations Assignment sheet (PDF document, 115 KB) solutions.tex (TeX document, 600 Bytes)
	Exercise 7: Rotations Assignment sheet (PDF document, 80 KB) code.zip (ZIP archive, 24 KB)
	Exercise 8: ParticleSystem Assignment sheet (PDF document, 113 KB) matlabCode.zip (ZIP archive, 2.1 KB)
	Exercise 9: ParticleSystemII Assignment sheet (PDF document, 47 KB)
	Exercise 10: BezierCurve Assignment sheet (PDF document, 252 KB) framework.zip (ZIP archive, 570 KB)
	Exercise 11: Subdivision Assignment sheet (PDF document, 125 KB) Geruest.zip (ZIP archive, 372 KB)
	Exercise 12: ExampleExamination Assignment sheet (PDF document, 141 KB)